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A126314 Signature-permutation of a Catalan automorphism: composition of A125976 and A069772. 8
0, 1, 3, 2, 7, 5, 6, 8, 4, 22, 19, 17, 12, 10, 13, 11, 16, 21, 18, 14, 20, 15, 9, 63, 56, 59, 50, 47, 62, 53, 55, 41, 39, 45, 31, 26, 24, 35, 30, 32, 27, 25, 61, 51, 52, 64, 60, 44, 58, 49, 46, 34, 28, 29, 36, 33, 42, 57, 48, 43, 37, 54, 40, 38, 23, 196, 178, 191, 192, 177 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Like A069771, A069772, A125976 and A126315/A126316, this automorphism keeps symmetric Dyck paths symmetric, but not necessarily same.

LINKS

Table of n, a(n) for n=0..69.

Index entries for signature-permutations of Catalan automorphisms

CROSSREFS

Inverse: A126313. a(n) = A125976(A069772(n)) = A069772(A126290(n)) = A057164(A126316(n)).

Sequence in context: A298847 A059894 A307544 * A200714 A086702 A156140

Adjacent sequences:  A126311 A126312 A126313 * A126315 A126316 A126317

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 16 2007

STATUS

approved

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Last modified November 13 12:45 EST 2019. Contains 329094 sequences. (Running on oeis4.)